TSTP Solution File: SET451-6 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET451-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.FGdgmw9KkE true
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 16:14:11 EDT 2023
% Result : Unsatisfiable 1.21s 0.80s
% Output : Refutation 1.21s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET451-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.FGdgmw9KkE true
% 0.14/0.36 % Computer : n001.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 11:01:45 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.22/0.66 % Total configuration time : 435
% 0.22/0.66 % Estimated wc time : 1092
% 0.22/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.21/0.80 % Solved by fo/fo6_bce.sh.
% 1.21/0.80 % BCE start: 113
% 1.21/0.80 % BCE eliminated: 1
% 1.21/0.80 % PE start: 112
% 1.21/0.80 logic: eq
% 1.21/0.80 % PE eliminated: 19
% 1.21/0.80 % done 115 iterations in 0.070s
% 1.21/0.80 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.21/0.80 % SZS output start Refutation
% 1.21/0.80 thf(universal_class_type, type, universal_class: $i).
% 1.21/0.80 thf(member_type, type, member: $i > $i > $o).
% 1.21/0.80 thf(subset_relation_type, type, subset_relation: $i).
% 1.21/0.80 thf(complement_type, type, complement: $i > $i).
% 1.21/0.80 thf(compose_type, type, compose: $i > $i > $i).
% 1.21/0.80 thf(intersection_type, type, intersection: $i > $i > $i).
% 1.21/0.80 thf(subclass_type, type, subclass: $i > $i > $o).
% 1.21/0.80 thf(element_relation_type, type, element_relation: $i).
% 1.21/0.80 thf(cross_product_type, type, cross_product: $i > $i > $i).
% 1.21/0.80 thf(inverse_type, type, inverse: $i > $i).
% 1.21/0.80 thf(not_subclass_element_type, type, not_subclass_element: $i > $i > $i).
% 1.21/0.80 thf(prove_subset_relation_alternate_defn1_1, conjecture,
% 1.21/0.80 (subclass @
% 1.21/0.80 subset_relation @ ( cross_product @ universal_class @ universal_class ))).
% 1.21/0.80 thf(zf_stmt_0, negated_conjecture,
% 1.21/0.80 (~( subclass @
% 1.21/0.80 subset_relation @ ( cross_product @ universal_class @ universal_class ) )),
% 1.21/0.80 inference('cnf.neg', [status(esa)],
% 1.21/0.80 [prove_subset_relation_alternate_defn1_1])).
% 1.21/0.80 thf(zip_derived_cl112, plain,
% 1.21/0.80 (~ (subclass @ subset_relation @
% 1.21/0.80 (cross_product @ universal_class @ universal_class))),
% 1.21/0.80 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.21/0.80 thf(not_subclass_members1, axiom,
% 1.21/0.80 (( member @ ( not_subclass_element @ X @ Y ) @ X ) | ( subclass @ X @ Y ))).
% 1.21/0.80 thf(zip_derived_cl1, plain,
% 1.21/0.80 (![X0 : $i, X1 : $i]:
% 1.21/0.80 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 1.21/0.80 | (subclass @ X0 @ X1))),
% 1.21/0.80 inference('cnf', [status(esa)], [not_subclass_members1])).
% 1.21/0.80 thf(subset_relation, axiom,
% 1.21/0.80 (( intersection @
% 1.21/0.80 ( cross_product @ universal_class @ universal_class ) @
% 1.21/0.80 ( intersection @
% 1.21/0.80 ( cross_product @ universal_class @ universal_class ) @
% 1.21/0.80 ( complement @
% 1.21/0.80 ( compose @
% 1.21/0.80 ( complement @ element_relation ) @ ( inverse @ element_relation ) ) ) ) ) =
% 1.21/0.80 ( subset_relation ))).
% 1.21/0.80 thf(zip_derived_cl73, plain,
% 1.21/0.80 (((intersection @ (cross_product @ universal_class @ universal_class) @
% 1.21/0.80 (intersection @ (cross_product @ universal_class @ universal_class) @
% 1.21/0.80 (complement @
% 1.21/0.80 (compose @ (complement @ element_relation) @
% 1.21/0.80 (inverse @ element_relation)))))
% 1.21/0.80 = (subset_relation))),
% 1.21/0.80 inference('cnf', [status(esa)], [subset_relation])).
% 1.21/0.80 thf(intersection1, axiom,
% 1.21/0.80 (( ~( member @ Z @ ( intersection @ X @ Y ) ) ) | ( member @ Z @ X ))).
% 1.21/0.80 thf(zip_derived_cl20, plain,
% 1.21/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.21/0.80 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X1))),
% 1.21/0.80 inference('cnf', [status(esa)], [intersection1])).
% 1.21/0.80 thf(zip_derived_cl678, plain,
% 1.21/0.80 (![X0 : $i]:
% 1.21/0.80 (~ (member @ X0 @ subset_relation)
% 1.21/0.80 | (member @ X0 @ (cross_product @ universal_class @ universal_class)))),
% 1.21/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl73, zip_derived_cl20])).
% 1.21/0.80 thf(not_subclass_members2, axiom,
% 1.21/0.80 (( ~( member @ ( not_subclass_element @ X @ Y ) @ Y ) ) |
% 1.21/0.80 ( subclass @ X @ Y ))).
% 1.21/0.80 thf(zip_derived_cl2, plain,
% 1.21/0.80 (![X0 : $i, X1 : $i]:
% 1.21/0.80 (~ (member @ (not_subclass_element @ X0 @ X1) @ X1)
% 1.21/0.80 | (subclass @ X0 @ X1))),
% 1.21/0.80 inference('cnf', [status(esa)], [not_subclass_members2])).
% 1.21/0.80 thf(zip_derived_cl684, plain,
% 1.21/0.80 (![X0 : $i]:
% 1.21/0.80 (~ (member @
% 1.21/0.80 (not_subclass_element @ X0 @
% 1.21/0.80 (cross_product @ universal_class @ universal_class)) @
% 1.21/0.80 subset_relation)
% 1.21/0.80 | (subclass @ X0 @
% 1.21/0.80 (cross_product @ universal_class @ universal_class)))),
% 1.21/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl678, zip_derived_cl2])).
% 1.21/0.80 thf(zip_derived_cl690, plain,
% 1.21/0.80 (( (subclass @ subset_relation @
% 1.21/0.80 (cross_product @ universal_class @ universal_class))
% 1.21/0.80 | (subclass @ subset_relation @
% 1.21/0.80 (cross_product @ universal_class @ universal_class)))),
% 1.21/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl684])).
% 1.21/0.80 thf(zip_derived_cl691, plain,
% 1.21/0.80 ( (subclass @ subset_relation @
% 1.21/0.80 (cross_product @ universal_class @ universal_class))),
% 1.21/0.80 inference('simplify', [status(thm)], [zip_derived_cl690])).
% 1.21/0.80 thf(zip_derived_cl692, plain, ($false),
% 1.21/0.80 inference('demod', [status(thm)], [zip_derived_cl112, zip_derived_cl691])).
% 1.21/0.80
% 1.21/0.80 % SZS output end Refutation
% 1.21/0.80
% 1.21/0.80
% 1.21/0.80 % Terminating...
% 1.21/0.85 % Runner terminated.
% 1.21/0.86 % Zipperpin 1.5 exiting
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